Unless this someone in the travel department knows you and has booked many flights for you before, there are so many unstated assumptions and preferences and hidden utility functions that make that someone unable to find the best solution for you.
My employer does have corporate travel concierge who can actually do this with minimal input. But people do not want that. They think about aspects like, if I have a layover at XYZ, would the vicinity of XYZ be a good place for a few hours of sightseeing, given my own travel preferences and previous sightseeing destinations; and would I still want it if it is an overnight layover at XYZ. Or things like, if I fly via this route, I could squeeze another paid day with zero work expectations while I could rest on the plane / in lounges. Or things like, this particular airline has this particular type of aircraft with far better seats than that particular airline, so I would be happier even if the flight is longer.
Needless to say, all colleagues that I know of (myself included) prefer to book corporate travel themselves, even if from the company's perspective, spending a few hours to do it is much more expensive than having the concierge spend a few hours to do it.